225 citations · 508 across the 13 of their papers we have counts for
13 papers
Topological lattice gauge theory enriched by non-invertible symmetry
Lea E. Bottini, Clement Delcamp, Edmund Heng +2
We use finite group topological lattice gauge theory, also known as the quantum double model, as a lens to explore a notion of topological order enriched by a non-invertible symmet…
Reflections on time-reversal in the Symmetry Topological Field Theory
Lea E. Bottini, Nick G. Jones
Symmetry under time-reversal appears in the microscopic description of many physical systems. In a quantum mechanical setting it acts as an anti-unitary operator, so does not fall…
A Gapless Phase with Haagerup Symmetry
Lea E. Bottini, Sakura Schafer-Nameki
We construct a (1+1)d gapless theory which has Haagerup symmetry. The construction relies on the recent exploration of the categorical Landau paradigm applied to fu…
Illustrating the Categorical Landau Paradigm in Lattice Models
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invert…
Lattice Models for Phases and Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible categorical symmetries have emerged as a powerful tool to uncover new beyond-Landau phases of matter, both gapped and gapless, along with second order phase transiti…
The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We provide a generalization of the Symmetry Topological Field Theory (SymTFT) framework to characterize phase transitions and gapless phases with categorical symmetries. The centra…
Categorical Landau Paradigm for Gapped Phases
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We propose a unified framework to classify gapped infra-red (IR) phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in an…
Gapped Phases with Non-Invertible Symmetries: (1+1)d
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We propose a general framework to characterize gapped infra-red (IR) phases of theories with non-invertible (or categorical) symmetries. In this paper we focus on (1+1)d gapped pha…
Lectures on Generalized Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Ludovic Fraser-Taliente +4
These are a set of lecture notes on generalized global symmetries in quantum field theory. The focus is on invertible symmetries with a few comments regarding non-invertible symmet…
Non-Invertible Symmetry Webs
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible symmetries have by now seen numerous constructions in higher dimensional Quantum Field Theories (QFT). In this paper we provide an in depth study of gauging 0-form s…
Non-Invertible Higher-Categorical Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of…
Dualities from dualities: the sequential deconfinement technique
Lea E. Bottini, Chiung Hwang, Sara Pasquetti +1
It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it…
4d -duality wall and relations
Lea E. Bottini, Chiung Hwang, Sara Pasquetti +1
In this paper we present various dualities involving theories obtained by gluing two blocks via the gauging of a common symmetry with th…